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Solution for 5 is what percent of 13:

5: 13*100 =

(5*100): 13 =

500: 13 = 38.46

Now we have: 5 is what percent of 13 = 38.46

Question: 5 is what percent of 13?

Percentage solution with steps:

Step 1: We make the assumption that 13 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={ 13}.

Step 4: In the same vein, {x\%}={5}.

Step 5: This gives us a pair of simple equations:

{100\%}={ 13}(1).

{x\%}={5}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{ 13}{5}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{5}{ 13}

\Rightarrow{x} = {38.46\%}

Therefore, {5} is {38.46\%} of { 13}.

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Solution for 13 is what percent of 5:

13:5*100 =

( 13*100):5 =

1300:5 = 260

Now we have: 13 is what percent of 5 = 260

Question: 13 is what percent of 5?

Percentage solution with steps:

Step 1: We make the assumption that 5 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={5}.

Step 4: In the same vein, {x\%}={ 13}.

Step 5: This gives us a pair of simple equations:

{100\%}={5}(1).

{x\%}={ 13}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{5}{ 13}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{ 13}{5}

\Rightarrow{x} = {260\%}

Therefore, { 13} is {260\%} of {5}.